Solve (x+05)(-x^3+15x^2+075x+3/8)

$$(x+05)(- { x }^{ 3 } +15 { x }^{ 2 } +075x+ \frac{ 3 }{ 8 } )$$

Evaluate

$$-x^{4}+15x^{3}+\frac{3x}{8}$$

Solution Steps

Multiply 0 and 5 to get 0.

$$\left(x+0\right)\left(-x^{3}+15x^{2}+0\times 75x+\frac{3}{8}\right)$$

Anything plus zero gives itself.

$$x\left(-x^{3}+15x^{2}+0\times 75x+\frac{3}{8}\right)$$

Multiply 0 and 75 to get 0.

$$x\left(-x^{3}+15x^{2}+0x+\frac{3}{8}\right)$$

Anything times zero gives zero.

$$x\left(-x^{3}+15x^{2}+0+\frac{3}{8}\right)$$

Add 0 and \frac{3}{8} to get \frac{3}{8}.

$$x\left(-x^{3}+15x^{2}+\frac{3}{8}\right)$$

Use the distributive property to multiply x by -x^{3}+15x^{2}+\frac{3}{8}.

$$x\left(-x^{3}\right)+15x^{3}+\frac{3}{8}x$$

To multiply powers of the same base, add their exponents. Add 1 and 3 to get 4.

$$x^{4}\left(-1\right)+15x^{3}+\frac{3}{8}x$$

Expand

$$-x^{4}+15x^{3}+\frac{3x}{8}$$

Solution Steps

Multiply 0 and 5 to get 0.

$$\left(x+0\right)\left(-x^{3}+15x^{2}+0\times 75x+\frac{3}{8}\right)$$

Anything plus zero gives itself.

$$x\left(-x^{3}+15x^{2}+0\times 75x+\frac{3}{8}\right)$$

Multiply 0 and 75 to get 0.

$$x\left(-x^{3}+15x^{2}+0x+\frac{3}{8}\right)$$

Anything times zero gives zero.

$$x\left(-x^{3}+15x^{2}+0+\frac{3}{8}\right)$$

Add 0 and \frac{3}{8} to get \frac{3}{8}.

$$x\left(-x^{3}+15x^{2}+\frac{3}{8}\right)$$

Use the distributive property to multiply x by -x^{3}+15x^{2}+\frac{3}{8}.

$$x\left(-x^{3}\right)+15x^{3}+\frac{3}{8}x$$

To multiply powers of the same base, add their exponents. Add 1 and 3 to get 4.

$$x^{4}\left(-1\right)+15x^{3}+\frac{3}{8}x$$